58057920 has 168 divisors, whose sum is σ = 210403440. Its totient is φ = 14653440.

The previous prime is 58057903. The next prime is 58057943. The reversal of 58057920 is 2975085.

58057920 is a `hidden beast` number, since 5 + 80 + 579 + 2 + 0 = 666.

58057920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54190 + ... + 55250.

Almost surely, 2^58057920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105201720).

58057920 is an abundant number, since it is smaller than the sum of its proper divisors (152345520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58057920 is a wasteful number, since it uses less digits than its factorization.

58057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 58057920 is about 7619.5747912859. The cubic root of 58057920 is about 387.2164724454.

The spelling of 58057920 in words is "fifty-eight million, fifty-seven thousand, nine hundred twenty".